TSTP Solution File: HAL003+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:45:35 EDT 2022
% Result : Theorem 1.78s 2.43s
% Output : Proof 1.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 20:46:17 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.78/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/2.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/2.44
% 1.78/2.44 %-----------------------------------------------------
% 1.78/2.44 fof(g_surjection, conjecture, surjection(g), file('/export/starexec/sandbox/benchmark/theBenchmark.p', g_surjection)).
% 1.78/2.44 fof(g_morphism, axiom, morphism(g, b, e), file('/export/starexec/sandbox/benchmark/theBenchmark.p', g_morphism)).
% 1.78/2.44 fof(lemma12, axiom, ! [_63634] : (element(_63634, e) => ? [_63652, _63655] : (element(_63652, b) & element(_63655, b) & apply(g, subtract(b, _63652, _63655)) = _63634)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma12)).
% 1.78/2.44 fof(properties_for_surjection, axiom, ! [_63934, _63937, _63940] : (morphism(_63934, _63937, _63940) & ! [_63961] : (element(_63961, _63940) => ? [_63979] : (element(_63979, _63937) & apply(_63934, _63979) = _63961)) => surjection(_63934)), file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax', properties_for_surjection)).
% 1.78/2.44 fof(subtract_in_domain, axiom, ! [_64271, _64274, _64277] : (element(_64274, _64271) & element(_64277, _64271) => element(subtract(_64271, _64274, _64277), _64271)), file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax', subtract_in_domain)).
% 1.78/2.44
% 1.78/2.44 cnf(1, plain, [surjection(g)], clausify(g_surjection)).
% 1.78/2.44 cnf(2, plain, [-(morphism(g, b, e))], clausify(g_morphism)).
% 1.78/2.44 cnf(3, plain, [element(_44720, e), -(element(14 ^ [_44720], b))], clausify(lemma12)).
% 1.78/2.44 cnf(4, plain, [element(_44720, e), -(element(15 ^ [_44720], b))], clausify(lemma12)).
% 1.78/2.44 cnf(5, plain, [element(_44720, e), -(apply(g, subtract(b, 14 ^ [_44720], 15 ^ [_44720])) = _44720)], clausify(lemma12)).
% 1.78/2.44 cnf(6, plain, [-(surjection(_28943)), morphism(_28943, _29024, _29104), -(element(4 ^ [_29104, _29024, _28943], _29104))], clausify(properties_for_surjection)).
% 1.78/2.44 cnf(7, plain, [-(surjection(_28943)), morphism(_28943, _29024, _29104), element(_47563, _29024), apply(_28943, _47563) = 4 ^ [_29104, _29024, _28943]], clausify(properties_for_surjection)).
% 1.78/2.44 cnf(8, plain, [-(element(subtract(_37023, _37083, _37142), _37023)), element(_37083, _37023), element(_37142, _37023)], clausify(subtract_in_domain)).
% 1.78/2.44
% 1.78/2.44 cnf('1',plain,[surjection(g)],start(1)).
% 1.78/2.44 cnf('1.1',plain,[-(surjection(g)), morphism(g, b, e), -(element(4 ^ [e, b, g], e))],extension(6,bind([[_29024, _28943, _29104], [b, g, e]]))).
% 1.78/2.44 cnf('1.1.1',plain,[-(morphism(g, b, e))],extension(2)).
% 1.78/2.44 cnf('1.1.2',plain,[element(4 ^ [e, b, g], e), -(element(14 ^ [4 ^ [e, b, g]], b))],extension(3,bind([[_44720], [4 ^ [e, b, g]]]))).
% 1.78/2.44 cnf('1.1.2.1',plain,[element(14 ^ [4 ^ [e, b, g]], b), -(element(subtract(b, 14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]]), b)), element(15 ^ [4 ^ [e, b, g]], b)],extension(8,bind([[_37083, _37142, _37023], [14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]], b]]))).
% 1.78/2.44 cnf('1.1.2.1.1',plain,[element(subtract(b, 14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]]), b), -(surjection(g)), morphism(g, b, e), apply(g, subtract(b, 14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]])) = 4 ^ [e, b, g]],extension(7,bind([[_47563, _29104, _29024, _28943], [subtract(b, 14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]]), e, b, g]]))).
% 1.78/2.44 cnf('1.1.2.1.1.1',plain,[surjection(g)],extension(1)).
% 1.78/2.44 cnf('1.1.2.1.1.2',plain,[-(morphism(g, b, e))],extension(2)).
% 1.78/2.44 cnf('1.1.2.1.1.3',plain,[-(apply(g, subtract(b, 14 ^ [4 ^ [e, b, g]], 15 ^ [4 ^ [e, b, g]])) = 4 ^ [e, b, g]), element(4 ^ [e, b, g], e)],extension(5,bind([[_44720], [4 ^ [e, b, g]]]))).
% 1.78/2.44 cnf('1.1.2.1.1.3.1',plain,[-(element(4 ^ [e, b, g], e))],reduction('1.1')).
% 1.78/2.44 cnf('1.1.2.1.2',plain,[-(element(15 ^ [4 ^ [e, b, g]], b)), element(4 ^ [e, b, g], e)],extension(4,bind([[_44720], [4 ^ [e, b, g]]]))).
% 1.78/2.44 cnf('1.1.2.1.2.1',plain,[-(element(4 ^ [e, b, g], e))],reduction('1.1')).
% 1.78/2.44 %-----------------------------------------------------
% 1.78/2.45
% 1.78/2.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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